Reference
T. van den Boom and B. De Schutter, "Randomly switching max-plus linear systems
and equivalent classes of discrete event systems,"
Proceedings
of the 9th International Workshop on Discrete Event Systems (WODES'08),
Göteborg, Sweden, pp. 242-247, May 2008.
Abstract
In switching max-plus-linear discrete event systems we can switch between
different modes of operation. In each mode the discrete event system is
described by a max-plus-linear state space model with different system matrices
for each mode. In randomly switching max-plus-linear systems, the switching
between the modes can be both deterministic and stochastic. The switching
changes the structure of the system, which allows the system to break
synchronization and to change the order of events. In this paper two equivalent
descriptions for randomly switching max-plus-linear systems will be discussed.
Furthermore, we will show that a randomly switching max-plus-linear system can
be written as a piecewise affine system or a max-min-plus-scaling system. The
last transformation can be established under (rather mild) additional
assumptions on the boundedness of state and input.
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BibTeX
@inproceedings{vanDeS:08-008,
author = {van den Boom, Ton and De Schutter, Bart},
title = {Randomly Switching Max-Plus Linear Systems and Equivalent
Classes of Discrete Event Systems},
booktitle = {Proceedings of the 9th International Workshop on Discrete Event
Systems (WODES'08)},
address = {G\"oteborg, Sweden},
pages = {242--247},
month = may,
year = {2008}
}